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130713071753544 = 23372881522724137
BaseRepresentation
bin11101101110001000000010…
…001101011001100101001000
3122010211001021201022120022220
4131232020002031121211020
5114113100332332103134
61142000431200214040
736350464525461600
oct3556100215314510
9563731251276286
10130713071753544
113871611435a825
12127b109b30a320
1357c2260c27827
14243c791589c00
15101a231028149
hex76e202359948

130713071753544 has 192 divisors, whose sum is σ = 380655012548160. Its totient is φ = 37295518740480.

The previous prime is 130713071753513. The next prime is 130713071753573. The reversal of 130713071753544 is 445357170317031.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5415452644 + ... + 5415476780.

It is an arithmetic number, because the mean of its divisors is an integer number (1982578190355).

Almost surely, 2130713071753544 is an apocalyptic number.

130713071753544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130713071753544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190327506274080).

130713071753544 is an abundant number, since it is smaller than the sum of its proper divisors (249941940794616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130713071753544 is a wasteful number, since it uses less digits than its factorization.

130713071753544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30268 (or 30257 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 130713071753544 in words is "one hundred thirty trillion, seven hundred thirteen billion, seventy-one million, seven hundred fifty-three thousand, five hundred forty-four".